Optimal Synthesize Control For An SIR Epidemic Model
This paper considers the synthesize control for an SIR epidemic model with standard incidence rate, which not only isolate infective and susceptible, but also immunize susceptible. The threshold of the models system is analyzed. In order to calculate the optimal values of the isolate rate and immunize rate, it constructs a performance index that is calculated explicitly as an algebraic function of the controller parameters by solving Zubov’s partial differential equation, and standard optimization techniques are employed. The ultimate aim is to eliminate the disease. The simulation result shows the method is viable and effectively.
SIR epidemics mode isolate and immunize control threshold standard incidence rate
Guan Hong Jun
School of Science,Shenyang University, Shenyang 110044, China
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
3749-3753
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）